Find integration.

Asked by dineshchem108 | 14th Sep, 2018, 11:08: PM

Expert Answer:

begin mathsize 16px style straight I equals integral square root of 1 plus 2 tanx left parenthesis tanx plus secx right parenthesis end root dx
straight I equals integral square root of 1 plus 2 tan squared straight x plus 2 tanxsecx end root dx
straight I equals integral square root of sec squared straight x minus tan squared straight x plus 2 tan squared straight x plus 2 tanxsecx end root dx
straight I equals integral square root of sec squared straight x plus tan squared straight x plus 2 tanxsecx end root dx
straight I equals integral square root of open parentheses secx minus tanx close parentheses squared end root dx
straight I equals integral left parenthesis secx minus tanx right parenthesis dx
straight I equals log open vertical bar secx plus tanx close vertical bar plus log open vertical bar secx close vertical bar plus straight c end style

Answered by Sneha shidid | 17th Sep, 2018, 09:07: AM